Gradians to Minutes of Arc Conversion (g to arcmin)

Gradians to Minutes of Arc Converter

Enter the angle in gradians below to get the value converted to minutes of arc.

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Result in Minutes of Arc:

1^g = 54 arcmin

How to Convert Gradians to Minutes of Arc

To convert a measurement in gradians to a measurement in minutes of arc, multiply the angle by the following conversion ratio: 54 minutes of arc/gradian.

Since one gradian is equal to 54 minutes of arc, you can use this simple formula to convert:

minutes of arc = gradians × 54

The angle in minutes of arc is equal to the angle in gradians multiplied by 54.

For example, here's how to convert 5 gradians to minutes of arc using the formula above.

minutes of arc = (5^g × 54) = 270'

How Many Minutes of Arc Are in a Gradian?

There are 54 minutes of arc in a gradian, which is why we use this value in the formula above.

1^g = 54'

Gradians and minutes of arc are both units used to measure angle. Keep reading to learn more about each unit of measure.

What Is a Gradian?

A gradian is equal to 1/400 of a revolution or circle, or 9/10°. The grad, or gon, is more precisely defined as π/200, or 1.570796 × 10^-2 radians.^[1]

This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.

Right angles in gradians
Gradians	Degrees
0 grad	0°
100 grad	90°
200 grad	180°
300 grad	270°
400 grad	360°

A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as ^g, and are also sometimes abbreviated as gr or grd. For example, 1 gradian can be written as 1^g, 1 gr, or 1 grd.

In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.

Learn more about gradians.

What Is a Minute of Arc?

The minute of arc is a unit of angle equal to 1/60th of one degree, or 1/21,600 of a circle. The minute of arc is also equal to π/10,800 radians.

A minute of arc is sometimes also referred to as an arc minute, arcminute, or minute arc. Minutes of arc can be abbreviated as arcmin, and are also sometimes abbreviated as MOA or amin. For example, 1 minute of arc can be written as 1 arcmin, 1 MOA, or 1 amin.

The minute of arc is most commonly represented using the prime (′), although the single-quote is commonly used. For instance, 1 minute of is most commonly expressed as 1′.

Learn more about minutes of arc.

Gradian to Minute of Arc Conversion Table

Table showing various gradian measurements converted to minutes of arc.
Gradians	Minutes Of Arc
1^g	54'
2^g	108'
3^g	162'
4^g	216'
5^g	270'
6^g	324'
7^g	378'
8^g	432'
9^g	486'
10^g	540'
11^g	594'
12^g	648'
13^g	702'
14^g	756'
15^g	810'
16^g	864'
17^g	918'
18^g	972'
19^g	1,026'
20^g	1,080'
21^g	1,134'
22^g	1,188'
23^g	1,242'
24^g	1,296'
25^g	1,350'
26^g	1,404'
27^g	1,458'
28^g	1,512'
29^g	1,566'
30^g	1,620'
31^g	1,674'
32^g	1,728'
33^g	1,782'
34^g	1,836'
35^g	1,890'
36^g	1,944'
37^g	1,998'
38^g	2,052'
39^g	2,106'
40^g	2,160'

Table showing various gradian measurements converted to minutes of arc.

Gradians

Minutes Of Arc

1^g

54'

2^g

108'

3^g

162'

4^g

216'

5^g

270'

6^g

324'

7^g

378'

8^g

432'

9^g

486'

10^g

540'

11^g

594'

12^g

648'

13^g

702'

14^g

756'

15^g

810'

16^g

864'

17^g

918'

18^g

972'

19^g

1,026'

20^g

1,080'

21^g

1,134'

22^g

1,188'

23^g

1,242'

24^g

1,296'

25^g

1,350'

26^g

1,404'

27^g

1,458'

28^g

1,512'

29^g

1,566'

30^g

1,620'

31^g

1,674'

32^g

1,728'

33^g

1,782'

34^g

1,836'

35^g

1,890'

36^g

1,944'

37^g

1,998'

38^g

2,052'

39^g

2,106'

40^g

2,160'

References

Ambler Thompson and Barry N. Taylor, Guide for the Use of the International System of Units (SI), National Institute of Standards and Technology, https://physics.nist.gov/cuu/pdf/sp811.pdf